What is the Least Common Multiple of 8371 and 8391?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 8371 and 8391 is 70241061.
LCM(8371,8391) = 70241061
Least Common Multiple of 8371 and 8391 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8371 and 8391, than apply into the LCM equation.
GCF(8371,8391) = 1
LCM(8371,8391) = ( 8371 × 8391) / 1
LCM(8371,8391) = 70241061 / 1
LCM(8371,8391) = 70241061
Least Common Multiple (LCM) of 8371 and 8391 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8371 and 8391. First we will calculate the prime factors of 8371 and 8391.
Prime Factorization of 8371
Prime factors of 8371 are 11, 761. Prime factorization of 8371 in exponential form is:
8371 = 111 × 7611
Prime Factorization of 8391
Prime factors of 8391 are 3, 2797. Prime factorization of 8391 in exponential form is:
8391 = 31 × 27971
Now multiplying the highest exponent prime factors to calculate the LCM of 8371 and 8391.
LCM(8371,8391) = 111 × 7611 × 31 × 27971
LCM(8371,8391) = 70241061
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